Theoretical analysis shows that the total free energy of a ferroelectr
ic system with free boundary conditions increases with the number of t
he inhomogeneous regions, such as domain walls and other modulated str
uctures. However, charged defects could lower the total energy of a fe
rroelectric system by interacting with charge density fluctuations in
inhomogeneous regions. We discuss a special kind of inhomogeneous micr
ostructure in a lanthanum doped lead titanate, the amplitude modulatio
ns, which can be stabilized by aliovalent dopants.